Base | Representation |
---|---|
bin | 1001010000011000… |
… | …1001011100110100 |
3 | 20102011021202200200 |
4 | 2110012021130310 |
5 | 20042031431130 |
6 | 1050314240500 |
7 | 115400042025 |
oct | 22406113464 |
9 | 6364252620 |
10 | 2484639540 |
11 | 1065572509 |
12 | 594126130 |
13 | 3079b1a16 |
14 | 197db2c4c |
15 | e81e4760 |
hex | 94189734 |
2484639540 has 144 divisors (see below), whose sum is σ = 7784566608. Its totient is φ = 640991232.
The previous prime is 2484639511. The next prime is 2484639569. The reversal of 2484639540 is 459364842.
2484639540 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 639 + 5 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2484639511) and next prime (2484639569).
It can be written as a sum of positive squares in 8 ways, for example, as 32012964 + 2452626576 = 5658^2 + 49524^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284414 + ... + 1286346.
Almost surely, 22484639540 is an apocalyptic number.
2484639540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2484639540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892283304).
2484639540 is an abundant number, since it is smaller than the sum of its proper divisors (5299927068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2484639540 is a wasteful number, since it uses less digits than its factorization.
2484639540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2178 (or 2173 counting only the distinct ones).
The product of its (nonzero) digits is 829440, while the sum is 45.
The square root of 2484639540 is about 49846.1587286322. The cubic root of 2484639540 is about 1354.4234490164.
The spelling of 2484639540 in words is "two billion, four hundred eighty-four million, six hundred thirty-nine thousand, five hundred forty".
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